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Finding the Third Proportional to 1,279.55 and 1,694.67

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Solution

The third proportional to 1,279.55 and 1,694.67 is: 2,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.55 : 1,694.67 = 1,694.67 : x
  2. Step 2: Convert to fraction form
    1,279.55/1,694.67 = 1,694.67/x
  3. Step 3: Cross multiply
    1,279.55x = 1,694.67 × 1,694.67
  4. Step 4: Simplify right side
    1,279.55x = 2,871,912.76
  5. Step 5: Solve for x
    x = 2,871,912.76/1,279.55
  6. Step 6: Final answer
    x = 2,244.48

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.